On the Compound Broadcast Channel: Multiple Description Coding and Interference Decoding

This work investigates the general two-user compound Broadcast Channel (BC) in which an encoder wishes to transmit two private messages W 1 and W 2 to two receivers while being oblivious to the actual channel realizations controlling the communication. The focus is on the characterization of the lar...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 66; no. 1; pp. 38 - 64
Main Authors: Benammar, Meryem, Piantanida, Pablo, Shamai, Shlomo
Format: Journal Article
Language:English
Published: New York IEEE 01.01.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects:
broadcast channels (BCs)
Broadcasting
Channel capacity
channel state information
Channels
Coders
Coding
compound channels
Compounds
Decoding
Encoding
Engineering Sciences
Interference
MISO communication
multiple description coding
multiple input single output broadcast channel (MISO BC)
Receivers
Signal and Image processing
Uncertainty
Multiple descriptioncoding
Compound channels
Terms—Channel capacity
multiple input single output broadcast channel(MISO BC)
Broadcast channels (BCs)
Channel state information
ISSN:0018-9448, 1557-9654
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Summary:This work investigates the general two-user compound Broadcast Channel (BC) in which an encoder wishes to transmit two private messages W 1 and W 2 to two receivers while being oblivious to the actual channel realizations controlling the communication. The focus is on the characterization of the largest achievable rate region by resorting to more involved encoding and decoding techniques than the usual coding schemes of the standard BC. Involved decoding schemes are first explored, and an achievable rate region is derived based on the principle of Interference Decoding (ID), in which each receiver decodes its intended message and chooses to (non-uniquely) decode, or not, the interfering non-itended message. This decoding scheme is shown to be capacity achieving for a class of non-trivial compound BEC/BSC broadcast channels while the worst-case of Marton's inner bound-based on No Interference Decoding (NID)-fails to achieve the capacity region. Involved encoding schemes are later investigated, and an achievable rate region is derived based on Multiple Description (MD) coding wherin the encoder transmits a common description as well as multiple dedicated private descriptions to the many possible channel realizations of the users. It turns out that MD coding yields larger inner bounds than the single description scheme-Common Description (CD) coding-for a class of compound Multiple Input Single Output Broadcast Channels (MISO BC).
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2019.2942615